Fractality of observed solar radiation data
Апстракт
To describe complex behavior of solar radiation in terms of multifractional Brownian motion,
two methods are used: central Detrended Moving Average (cDMA) and its version, the-so-called
time dependent Detrended Moving Average (tdDMA).
The methods are applied to solar radiation time series (SRTS) consisting of 696 daily solar
irradiation measurements for Belgrade (44.810 °N, 20.460 °E), Serbia (data obtained
from www.soda-is.com on 15 November 2014). The measurements are taken with a 15-minute
temporal resolution, and they cover approximately two full years of measurements, 2004 and
2005.
The time dependent Detrended Moving Average method gives a distribution of the local Hurst
exponents for the whole data series. Long range correlations are characterized by the Hurst
exponent H. In particular, the exponents 0.0 < H < 0.5 and 0.5 < H < 1.0 correspond to negative
(anti-persistence) and positive (persistence) correlation, respectively. The Hurst exponent equal
to 0.5 correspon...ds to an uncorrelated Brownian process. In accordance with an estimated
magnitude of Hurst exponents, the results with persistent characteristics are obtained. This
finding implies some underlying trends.
Further investigation focuses on the effects of potential periodic-like influences on the
analyzed SRTS data. For example, daily and three-month periodicities that correspond to a
diurnal and seasonal variability of solar radiation, respectively, are found. We propose that an
existence of a number of periodic-like influences on SRTS data may partially explain the observed
difference in types of correlated behavior of corresponding scaling functions.
Кључне речи:
Fractality / solar radiation dataИзвор:
Book of Abstracts of the Third International Conference on Radiation and Applications in Various Fields of Research, June 08–12, 2015, Budva, Montenegro, 2015, 116-116Издавач:
- Niš : RAD Association
Колекције
Институција/група
Fakultet veterinarske medicineTY - CONF AU - Sarvan, Darko AU - Ajtić, Jelena AU - Miljković, Vladimir PY - 2015 UR - https://vet-erinar.vet.bg.ac.rs/handle/123456789/2367 AB - To describe complex behavior of solar radiation in terms of multifractional Brownian motion, two methods are used: central Detrended Moving Average (cDMA) and its version, the-so-called time dependent Detrended Moving Average (tdDMA). The methods are applied to solar radiation time series (SRTS) consisting of 696 daily solar irradiation measurements for Belgrade (44.810 °N, 20.460 °E), Serbia (data obtained from www.soda-is.com on 15 November 2014). The measurements are taken with a 15-minute temporal resolution, and they cover approximately two full years of measurements, 2004 and 2005. The time dependent Detrended Moving Average method gives a distribution of the local Hurst exponents for the whole data series. Long range correlations are characterized by the Hurst exponent H. In particular, the exponents 0.0 < H < 0.5 and 0.5 < H < 1.0 correspond to negative (anti-persistence) and positive (persistence) correlation, respectively. The Hurst exponent equal to 0.5 corresponds to an uncorrelated Brownian process. In accordance with an estimated magnitude of Hurst exponents, the results with persistent characteristics are obtained. This finding implies some underlying trends. Further investigation focuses on the effects of potential periodic-like influences on the analyzed SRTS data. For example, daily and three-month periodicities that correspond to a diurnal and seasonal variability of solar radiation, respectively, are found. We propose that an existence of a number of periodic-like influences on SRTS data may partially explain the observed difference in types of correlated behavior of corresponding scaling functions. PB - Niš : RAD Association C3 - Book of Abstracts of the Third International Conference on Radiation and Applications in Various Fields of Research, June 08–12, 2015, Budva, Montenegro T1 - Fractality of observed solar radiation data SP - 116 EP - 116 UR - https://hdl.handle.net/21.15107/rcub_veterinar_2367 ER -
@conference{ author = "Sarvan, Darko and Ajtić, Jelena and Miljković, Vladimir", year = "2015", abstract = "To describe complex behavior of solar radiation in terms of multifractional Brownian motion, two methods are used: central Detrended Moving Average (cDMA) and its version, the-so-called time dependent Detrended Moving Average (tdDMA). The methods are applied to solar radiation time series (SRTS) consisting of 696 daily solar irradiation measurements for Belgrade (44.810 °N, 20.460 °E), Serbia (data obtained from www.soda-is.com on 15 November 2014). The measurements are taken with a 15-minute temporal resolution, and they cover approximately two full years of measurements, 2004 and 2005. The time dependent Detrended Moving Average method gives a distribution of the local Hurst exponents for the whole data series. Long range correlations are characterized by the Hurst exponent H. In particular, the exponents 0.0 < H < 0.5 and 0.5 < H < 1.0 correspond to negative (anti-persistence) and positive (persistence) correlation, respectively. The Hurst exponent equal to 0.5 corresponds to an uncorrelated Brownian process. In accordance with an estimated magnitude of Hurst exponents, the results with persistent characteristics are obtained. This finding implies some underlying trends. Further investigation focuses on the effects of potential periodic-like influences on the analyzed SRTS data. For example, daily and three-month periodicities that correspond to a diurnal and seasonal variability of solar radiation, respectively, are found. We propose that an existence of a number of periodic-like influences on SRTS data may partially explain the observed difference in types of correlated behavior of corresponding scaling functions.", publisher = "Niš : RAD Association", journal = "Book of Abstracts of the Third International Conference on Radiation and Applications in Various Fields of Research, June 08–12, 2015, Budva, Montenegro", title = "Fractality of observed solar radiation data", pages = "116-116", url = "https://hdl.handle.net/21.15107/rcub_veterinar_2367" }
Sarvan, D., Ajtić, J.,& Miljković, V.. (2015). Fractality of observed solar radiation data. in Book of Abstracts of the Third International Conference on Radiation and Applications in Various Fields of Research, June 08–12, 2015, Budva, Montenegro Niš : RAD Association., 116-116. https://hdl.handle.net/21.15107/rcub_veterinar_2367
Sarvan D, Ajtić J, Miljković V. Fractality of observed solar radiation data. in Book of Abstracts of the Third International Conference on Radiation and Applications in Various Fields of Research, June 08–12, 2015, Budva, Montenegro. 2015;:116-116. https://hdl.handle.net/21.15107/rcub_veterinar_2367 .
Sarvan, Darko, Ajtić, Jelena, Miljković, Vladimir, "Fractality of observed solar radiation data" in Book of Abstracts of the Third International Conference on Radiation and Applications in Various Fields of Research, June 08–12, 2015, Budva, Montenegro (2015):116-116, https://hdl.handle.net/21.15107/rcub_veterinar_2367 .